Answer:
The length of QR is approximately 18.3 cm
Step-by-step explanation:
The given parameters are;
The length of the side PR = 23 cm
The length of the side PQ = 22 cm
The measure of the angle QPR = 48°
By cosine rule, we have;
[tex]\overline{QR}^2 = \overline{PR}^2 + \overline{PQ}^2 - 2 \times \overline{PR} \times \overline{PQ} \times cos(\angle QPR)[/tex]
Plugging in the values gives;
[tex]\overline{QR}^2 = 23^2 + 22^2 - 2 \times 23 \times 22\times cos(48^{\circ}) \approx 335.84[/tex]
[tex]\therefore \overline{QR} \approx \sqrt{335.84} \approx 18.3[/tex]
The length of QR ≈ 18.3 cm
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
{WILL GIVE BRAINLIEST} pls solve show work or just do on paper and send me a picture
Answer:
you torched a kid today
Step-by-step explanation:
i hope you are happy:(
You get a gift of $1,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different savings plans. Determine the final amount in the account for each plan in 5 years. Round your answers to two decimal places if needed.
Plan A: The bank gives you 4% interest rate and it is compounded every two months.
Plan B: The bank gives you a 10% interest rate and compounds the interest every 6 months.
Final Account balance for Plan A: $
Final Account balance for Plan B: $
Step-by-step explanation:
write what you know
P = 1,000
n = 5 years
Plan 1
i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%
write and solve
future value = p(1+i)^n = 1000(1+0.24)^5
plan 2
i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%
write and solve
future value = p(1+i)^n = 1000(1+0.20)^5
I need help with these 2 please
Answer:
(-2 , 5) (2 , 3)
m = y2 - y1 / x2 - x1
= 3 - 5 / 2 + 2
- 2 / 4 = - 1/2
- 1/2 = y - 3 / x - 2
cross multiply and u get
y = -0.5x + 4
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
(m2-m-4)+(m-5) (1 point)
Answer:
2−9
Step-by-step explanation:
You take redundant away, then do subtract, then combine terms. It will give solution.
Are the following polygons similar explain
Technically, we don't have enough info so it could go either way.
==========================================================
Explanation:
We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.
Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.
Use the graphling tool to determine the true statements regarding the represented function check all that apply
Answer:
Adobe Family Tools
Step-by-step explanation:
Now round 0.065 to the nearest hundredth.
0.065 rounds to?
Answer:
0.07
Step-by-step explanation:
To round a decimal to the nearest hundredth, look at the thousandths place.
If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.
If it is smaller than 5, we will keep the number the same.
In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.
The hundredths place value is 0.06, so we will round it up to 0.07.
So, 0.065 will round to 0.07.
Urgent helps bxjdidjdjjfjdhhdhdh
Answer:
l=40
Step-by-step explanation:
The area is calculated as
A = wl
1200=30l
1200/30=l
40=l
Paul buys 5 books priced at $10 and 3 priced at $15. He also has a coupon for $7 off his purchase. Write an expression with parentheses to show the total cost, after using the coupon, and then simplify it to show hos much he spent.
Answer:
(10x5+15x3)-7
Step-by-step explanation:
Find the slope of the line that contains
the points (3, 2) and (-3, 8).
Answer:
-1
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= ( 8 - 2)/( -3 -3)
= 6 / -6
= -1
if f(x) = 4x - 20, what is f(4)?
Answer:
f(4) = -4
Step-by-step explanation:
f(x) = 4x - 20
Let x= 4
f(4) = 4*4 - 20
Multiply first
= 16 -20
Then subtract
= -4
Answer:
-4
Step-by-step explanation:
Hope it helps
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters?
Answer:
79 inches
Step-by-step explanation:
2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in
rounded
79 inches
Helpppppp meeeee!!!!!
if u answer all 4 questions i´ll give you Brainliest!!!
NO LINKS!!
In a right angle triangle the side lengths are 4 and 2. Please find the hypotenuse. You can answer this in radical form OR give the answers in hundredth.
Answer:
4.47
Step-by-step explanation:
A squared + B squared = C squared
4*4=16 2*2=4 16+4=20
the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47
What is the measure of arc WYZ?
------------
hint: find the measure of arc WYZ
------------
231
255
200
168
Step-by-step explanation:
We have a diameter and vertical angles so
231.
180+51=231
Answer:
231
Step-by-step explanation:
The measure of arc WX is 51
XZ is a straight angle so its arc measures 180 degrees
The measure of arc WYZ
WYZ= WX + XZ
= 51 + 180
231
Can someone help me? It's urgent and thank you!
Answer:
[tex]\frac{1}{3(x-2)}[/tex]
Step-by-step explanation:
Hi there!
We need to multiply the fractions:
[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]
Before we multiply, we can cancel out and factor the polynomials to make multiplying easier
First, we can factor x²+x-6
1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers
Those numbers are -2 and 3
so when we factor, we get:
(x-2)(x+3)
here are the fractions so far:
[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]
we can cancel out x+3 on both fractions
[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]
we can also cancel out 4x from both fractions
[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]
now multiply the fractions together
[tex]\frac{1}{3(x-2)}[/tex]
So the first option is your answer
Hope this helps! :)
Please help 7th grade math
Answer:
d = 67.5
e = 22.5
Step-by-step explanation:
d + e = 90
d = 3e
Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.
Hope that this helps!
Calculando a expressão (-2)² + (+5)², obtemos qual resultado?
a) + 29
b) + 21
c) + 14
d) + 6
Answer:
a
Step-by-step explanation:
(-2)² + (+5)² = (-2)*(-2) + 5 * 5
= 4 + 25
= +29
I’m confused.. please help me
Answer:
It's [tex]3x^4+22x^3+31x^2-6[/tex]
Step-by-step explanation:
Area is L times width
LW=H
and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]
basically you multiply yhem togetheer and combine like terms and voila
The answer is 3x^4 + 24x^2 - 6
explanation:
A = l × w
= (3x^2+4x-2)(x^2+6x+3)
=(3x × x) + (4x×6x) + (-2×3)
= 3x^2 + 24x^2 - 6
How many t-shirts did the company purchase if their total cost was $100? Explain how you found your answer.
Please help me Thanks
Please help I need help
Answer:
x=10
Step-by-step explanation:
To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.
Answer:
It's 10
Step-by-step explanation:
C^2=A^2+B^2blank
C=√(A^2+B^2)
If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10
Divide: 5 + 2i by 3 + 4i.
Answer:
1-2i
Step-by-step explanation:
Divide: 5 + 2i by 3 + 4i.
Given data
5 + 2i by 3 + 4i.
We have the expression as
(5 + 2i)/(3 + 4i)
Rationalize the denominator
(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)
=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2
=15-14i+8/9-16
=7-14i/-7
=1-2i
Keisha has a rug in the shape of a rectangle that she wants to put in her bedroom. The rug has an area of 6 square meters. She wants to see if it will fit in the space she has in her bedroom. If the rug has a height of 2.5 meters, what is the base of the rug?
The rug has a base of ____ meters.
Answer:
2.4
6 divided by 2.5= 2.4
Step-by-step explanation:
Hope this is correct, if not feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.
Answer:
The answer is indeed 2.4:
Step-by-step explanation:
SOMEONE HELP, I HAVENT BEEN PAYING ATTENTION TO CLASS
Answer:
A=4cm
ok to do this we do the formula
A=PiR^2
A=3.14*4^2
A=3.14*16
A=50.24
and the area of circle B is 4 times the area of a so
50.24*4=200.96
200.96=3.14*X^2
Since r is on the right side of the equation, switch the sides so it is on the left side of the equation. 3.14 ⋅ r 2 = 200.96 Divide each term by 3.14 and simplify.
r 2 = 64
r=8
CIRLCE A=50.24
CIRLCE B=8
Which cone has a volume of 24 x cm?
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
Round off 2/3 correct to 2 significane figures
=====================================================
Explanation:
Use of a calculator will show that
2/3 = 0.6666...
where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67
The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.
Un hombre compra un caballo por 50 dolares. Vende el caballo por 70 dolares. Despues vuelve a compar el caballo por 80 dolares. Y vuelve a venderlo de nuevo por 90 dolares. Al final, ¿cuanto obtuvo de ganancia?
Answer:
30 dólares es la ganancia neta.
Step-by-step explanation:
En la primera transacción, el hombre está perdiendo 50 dólares:
1. -50 dólares
En la segunda transacción, el hombre gana 70 dólares:
2. -50 + 70 = +20 dólares
En la tercera transacción pierde 80 dólares:
3. 20 - 80 dólares = -60 dólares
Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:
4. -60 dólares + 90 dólares =
30 dólares es la ganancia neta